Pith Number

pith:NXGFPJAV

pith:2020:NXGFPJAVZBVWSQIP2PUH2R2QW6

not attested not anchored not stored refs pending

What is the price of abandoning dark matter? Cosmological constraints on alternative gravity theories

David N. Spergel, Kris Pardo

arxiv:2007.00555 v2 · 2020-07-01 · astro-ph.CO · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXGFPJAVZBVWSQIP2PUH2R2QW6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$

The Atacama Cosmology Telescope: A Test of the Gravitational Force Law on Cosmological Scales Using the Kinematic Sunyaev-Zeldovich Effect

Receipt and verification

First computed	2026-07-05T01:53:52.703813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dcc57a415c86b69410fd3e87d4750b7b5b4611cf02fcc361c39480705f51d63

Aliases

arxiv: 2007.00555 · arxiv_version: 2007.00555v2 · doi: 10.48550/arxiv.2007.00555 · pith_short_12: NXGFPJAVZBVW · pith_short_16: NXGFPJAVZBVWSQIP · pith_short_8: NXGFPJAV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NXGFPJAVZBVWSQIP2PUH2R2QW6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6dcc57a415c86b69410fd3e87d4750b7b5b4611cf02fcc361c39480705f51d63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce731b507406749907736a7e716e69a5584ed3b4de791ce2ff9bea7ef3c232a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-07-01T15:29:50Z",
    "title_canon_sha256": "1a172809d14ed3ee5c407c0eaa2905fa3e31644674ae5d9d30b93604fd7cb640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.00555",
    "kind": "arxiv",
    "version": 2
  }
}